Distance rate time word problems

Front

What is the formula for calculating distance?

Back

Distance = Rate × Time

Front

Define 'rate' in the context of distance, rate, and time problems.

Back

Rate is the speed at which an object travels, usually expressed in miles per hour (mph).

Front

What is the relationship between distance, rate, and time?

Back

Distance is directly proportional to both rate and time.

Front

If a car travels at a speed of 60 mph for 2 hours, how far does it travel?

Back

Distance = 60 mph × 2 hours = 120 miles.

Front

What is the formula for calculating time?

Back

Time = Distance ÷ Rate

Front

If a runner completes a 5-mile race at a speed of 5 mph, how long did it take?

Back

Time = 5 miles ÷ 5 mph = 1 hour.

Front

What is the formula for calculating rate?

Back

Rate = Distance ÷ Time

Front

If a cyclist travels 30 miles in 1.5 hours, what is their speed?

Back

Rate = 30 miles ÷ 1.5 hours = 20 mph.

Front

A train travels 150 miles in 3 hours. What is its speed?

Back

Rate = 150 miles ÷ 3 hours = 50 mph.

Front

If two objects are moving towards each other, how do you calculate the time until they meet?

Back

Time = Distance ÷ (Rate1 + Rate2) where Rate1 and Rate2 are the speeds of the two objects.